具有良恰当断面的富足半群的结构  

A Structure of Abundant Semigroups with Good Adequate Transversals

作　　者：孔祥军[1] 王蓓 KONG Xiang-jun;WANG Pei(School of Mathematical Sciences,Qufu Normal University,Qufu Shandong 273165,China;School of Software Engineering,Qufu Normal University,Qufu Shandong 273165,China)

机构地区：[1]曲阜师范大学数学科学学院,山东曲阜273165 [2]曲阜师范大学软件学院,山东曲阜273165

出　　处：《西南大学学报（自然科学版）》2019年第10期37-44,共8页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金面上项目(11871301);山东省自然科学基金面上项目(ZR2016AM02);山东省高校科技计划项目(J18KA248);曲阜师范大学科技计划项目(xkj201509)

摘　　要：利用L^*-幂单半群和R^*-幂单半群,给出具有良恰当断面的富足半群的一个对称的织积结构定理.此结论去掉了拟理想这个重要的前提,且比已有结论的形式更简单.其结果是对逆断面和恰当断面中相应结果的丰富和推广,为进一步研究该类半群的结构、性质及刻画其上的同余奠定了坚实的理论基础.By means of an L^*-unipotent semigroup and an R^*-unipotent semigroup,a symmetrical spined product structure theorem for an abundant semigroup with a good adequate transversal is established.This conclusion removes "quasi-ideal"- an important premise - thus making it more concise than the conclusions in available literature.The result of this paper is an improvement and extension of the previous results about inverse transversals and adequate transversals.It lays a solid theoretical foundation for further study of the structure,properties and characterization of the congruences on this kind of semigroups.

关 键 词：富足半群 良恰当断面 L^*-幂单半群 

分 类 号：O152.7[理学—数学]